On the Dynamical Behavior of Solitary Waves for Coupled Stochastic Korteweg–De Vries Equations by Wael W. Mohammed, Farah M. Al-Askar, Clemente Cesarano

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Study on the variable coefficient space–time fractional Korteweg de Vries equation by Emad A-B. Abdel-Salam, Gamal F. Hassan

“…Keywords: Modified Riemann–Liouville derivatives, Exact solutions, Fractional Riccati method, Fractional Korteweg de Vries equation…”
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Specific solutions of the generalized Korteweg-de Vries equation with possible physical applications by Bracken Paul

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Korteweg–deVries equation for longitudinal disturbances in coasting charged-particle beams by Ronald C. Davidson

“…Assuming a waterbag distribution for the longitudinal distribution function F_{b}(z,p_{z},t), it is shown that weakly nonlinear disturbances moving near the sound speed evolve according to the Korteweg–deVries equation.…”
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Integration of the Negative Order Korteweg-de Vries Equation with a Special Source by G.U. Urazboev, M. M. Khasanov, I.I. Baltaeva

Subjects: “…negative order korteweg-de vries equation…”
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An analytical method for finding exact solutions of modified Korteweg–de Vries equation by Md. Shafiqul Islam, Kamruzzaman Khan, M. Ali Akbar

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The Zakharov–Shabat Spectral Problem for Complexification and Perturbation of the Korteweg–de Vries Equation by Tatyana V. Redkina, Arthur R. Zakinyan, Robert G. Zakinyan

Subjects: “…complexification of the Korteweg–de Vries equation…”
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Exact Traveling Wave Solutions of the Loaded Modified Korteweg-de Vries Equation by I. I. Baltaeva, I. D. Rakhimov, M. M. Khasanov

“…This paper is dedicated to finding the traveling wave solutions of the loaded modified Korteweg-de Vries equation. It is shown to find the solutions via (G’/G) — expansion method which is one of the most effective ways of finding solutions. …”
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Hirota bilinear computation of multi soliton solutions korteweg de vries equation by Hamdan, Anniza

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Numerical investigations of waves interactions from forced Korteweg de Vries equations by Kee, Boon Hui

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Numerical solutions of the forced perturbed Korteweg-de vries equation with variable coefficients by Kim, Gaik Tay, Yaan, Yee Choy, Wei, King Tiong, Chee, Tiong Ong, Mohd. Yazid, Nazatulsyima

Lipschitz stability in an inverse problem for the Korteweg-de Vries equation on a finite domain by Mo Chen

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Fractional View Analysis System of Korteweg–de Vries Equations Using an Analytical Method by Yousef Jawarneh, Zainab Alsheekhhussain, M. Mossa Al-Sawalha

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ANALYSIS OF THE RESULTS OF COMPUTER SIMULATION N-SOLITON SOLUTIONS OF THE KORTEWEG – DE VRIES EQUATION by Y. F. Novik

“…The results of computer simulation N-soliton solutions of the Korteweg – de Vries equation with N = 1, 2, 3, 4 are shown. Using numerical experiment the property of conservation of area under the envelope of soliton solutions of the Korteweg – de Vries equation is found. …”
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Study tsunamis through approximate solution of damped geophysical Korteweg-de Vries equation by Noufe H. Aljahdaly

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Lie Group Analysis of a Nonlinear Coupled System of Korteweg-de Vries Equations by Joseph Owuor Owino, Benard Okelo

“…In this paper, we consider coupled Korteweg-de Vries equations that model the propagation of shallow water waves, ion-acoustic waves in plasmas, solitons, and nonlinear perturbations along internal surfaces between layers of different densities in stratified fluids, for example propagation of solitons of long internal waves in oceans. …”
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A note on “Jacobi elliptic function solutions for the modified Korteweg–de Vries equation” by Hong-Zhun Liu

Subjects: “…Modified Korteweg–de Vries equation…”
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Conservative finite volume element schemes for the complex modified Korteweg–de Vries equation by Yan Jin-Liang, Zheng Liang-Hong

Subjects: “…complex modified korteweg–de vries equation…”
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Generation and Analysis of a New Implicit Difference Scheme for the Korteweg-de Vries Equation by Blinkov Yuri, Gerdt Vladimir, Marinov Konstantin

“…In this paper we apply our computer algebra based algorithmic approach to construct a new finite difference scheme for the two-parameter form of the Korteweg-de Vries equation. The approach combines the finite volume method, numerical integration and difference elimination. …”
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Numerical inverse scattering for the Korteweg–-de Vries and modified Korteweg–-de Vries equations by Trogdon, T, Olver, S, Deconinck, B

“…Recent advances in the numerical solution of Riemann–Hilbert problems allow for the implementation of a Cauchy initial value problem solver for the Korteweg–de Vries equation (KdV) and the defocusing modified Korteweg–de Vries equation (mKdV), without any boundary approximation. …”